Mathematical Model for Axisymmetric Taylor Flows Inside a Drop
Ilya V. Makeev,
Rufat Sh. Abiev,
Igor Yu. Popov
Affiliations
Ilya V. Makeev
Faculty of Control Systems and Robotics, Saint Petersburg National Research University of Information Technologies, Mechanics and Optics (ITMO University), Kronverkskiy, 49, 197101 Saint Petersburg, Russia
Rufat Sh. Abiev
Department of Optimization of Chemical and Biotechnological Equipment, Saint Petersburg State Institute of Technology (Technical University), Moscovskiy Prospect, 26, 190013 Saint Petersburg, Russia
Igor Yu. Popov
Faculty of Control Systems and Robotics, Saint Petersburg National Research University of Information Technologies, Mechanics and Optics (ITMO University), Kronverkskiy, 49, 197101 Saint Petersburg, Russia
Analytical solutions of the Stokes equations written as a differential equation for the Stokes stream function were obtained. These solutions describe three-dimensional axisymmetric flows of a viscous liquid inside a drop that has the shape of a spheroid of rotation and have a similar set of characteristics with Taylor flows inside bubbles that occur during the transfer of a two-component mixture through tubes.
